Nature of roots

The geometry of complex numbers plays a vital role in dealing with problems. Sometimes a purely geometric approach minimises the solution of the problem. Leonard Euler: Solving equations such as x² + n² = 0, n belongs to Z were thought to be impossible. However, mathematicians managed to come up with the idea to create […]

Talking about the methods to find the square root of an algebraic expression’s meaning, let’s look at the example. Have you ever grown a plant in a glass to observe the growth of its roots? Have you ever witnessed roots forming a perfect square? No? Square roots have nothing to do with plant roots sprouting

Exponents can also be written as logarithms. We know that 2⁵ equals 32. However, if we are asked to find what number replaces the question mark in 2? = 32, we can simply find the answer by trial and error. But what if the question mark is hidden in 2? = 30? Is there a

In mathematics, inequality occurs when two mathematical expressions or two numbers are compared that are not equal. In general, inequalities can be either numerical or algebraic, or a combination of the two. Linear inequalities involve at least one linear algebraic expression, i.e., a A degree 1 polynomial is compared to another algebraic expression of degree

A linear equation in one variable is the basic equation used to represent and solve for an unknown quantity. It is always a straight line and can be graphically represented. A linear equation is a simplistic way of representing a mathematical statement. Unknown quantities can be represented by any variable or symbol, but in most

A linear equation or a one-degree equation is one in which the maximum power of the variable is 1. For instance, 4x + y = 6 is a linear equation since both x and y have a maximum power of one. The conventional form of a linear equation is as follows: Ax + By =

Introduction In this article, we will introduce the linear equations from Mathematics for the IIT JEE Mains and advanced exams. This topic educates the learners on linear equations. Here, we will discuss the linear equations, forms of linear equations, steps to solve a linear equation, hints in linear equations, and linear equations in one variable.

Linear Equation A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation’s graph will always be a straight line. A linear equation is an algebraic equation in which each term has an exponent of

For the purposes of this definition, an algebraic expression is an expression made up of both variables and constants, in addition to arithmetic operations such as addition, subtraction, multiplication, and division. As an illustration: 3x + 19y = 30 is an algebraic expression since it consists of three terms, namely, 3x, 19y, and 30 and

There are three possible solutions of any linear equation. They are : 1. Linear equation with one solution ; 2. Linear equation with no solution; 3. Linear equation with infinite solutions. Linear equation with infinite solutions: To solve two- or three-variable systems of equations, we must first evaluate if the equation is dependent, independent, consistent,